value of complex number i^7+1/i^4

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05-12-2021
Mathematics

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value of complex number i^7+1/i^4

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loneguy loneguy · Answer 1 · 2021-12-05T12:03:21-05:00

loneguy loneguy

05-12-2021

[tex]i^7 + \dfrac 1{i^4}\\\\=i^2 \cdot i^2 \cdot i^2 \cdot i + \dfrac 1{i^2 \cdot i^2}\\\\=(-1)(-1)(-1)i + \dfrac 1{(-1)(-1)} ~~~;[ i^2 = -1] \\\\\ = (-1)^3 i+ \dfrac 1{(-1)^2} \\\\=-i+1[/tex]

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